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The selling price of an article is \(\frac{6}{5}\)th of the cost price of the article. Then the gain per cent is

  • A.20%
  • B.30%
  • C.25%
  • D.24%

Answer: A

The gain is 20%.

If SP is \(\frac{6}{5}\) of CP, the gain is \(\frac{6}{5} - 1 = \frac{1}{5}\) of CP.

\[ \text{gain}\% = \frac{1}{5} \times 100 = 20\% \]

For instance, if the cost price is Rs. 100 the selling price is Rs. 120, a gain of Rs. 20 on Rs. 100. Working the gain out on the selling price instead would give about 16.7%, which is not offered, and 25%, 30% and 24% fit no step of the working.

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